Question

On a graph, the solution to a system of linear equations will be represented by

O A. the x-intercept of each line
O B. the y-intercept of each line
O C. all the points on either line
O D. the intersection of the lines"

Answer 1

The solution to the system of linear equations on a graph is the intersection of the lines, representing the point that satisfies both equations. Linear equations are typically of the form y = mx + b, where m is the slope and b is the y-intercept.

Step-by-step explanation:

The solution to a system of linear equations on a graph is represented by D. the intersection of the lines. Each line in a system of equations represents all the solutions to one equation. The solution to the system of equations is where both lines intersect, which means it is the point that satisfies both equations simultaneously. This point will have coordinates that make both equations true when substituted for the variables x and y.

Linear equations typically have the form y = mx + b, where m is the slope of the line and b is the y-intercept. The slope indicates how steep the line is and the direction it tilts, while the y-intercept is the point where the line crosses the y-axis. As mentioned, the slope of a line is constant along the entire line, and the y-intercept is where the value of x is 0.